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Finding the Third Proportional to 172,098 and 377,439.75

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Solution

The third proportional to 172,098 and 377,439.75 is: 827,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,098 : 377,439.75 = 377,439.75 : x
  2. Step 2: Convert to fraction form
    172,098/377,439.75 = 377,439.75/x
  3. Step 3: Cross multiply
    172,098x = 377,439.75 × 377,439.75
  4. Step 4: Simplify right side
    172,098x = 142,460,764,880.06
  5. Step 5: Solve for x
    x = 142,460,764,880.06/172,098
  6. Step 6: Final answer
    x = 827,788.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.